Unit Study Calendar
CE 2051 Advanced Mechanics of Materials
Year 2, Semester 2:
Week
Starting
No.
Sept 11
1
Sept 18
2
Sept 25
3
Oct 2
4
Sept. 2023- Jan. 2024
11th Sept. 2023 – 12th Jan., 2024
Lecture
Tutorial
Introduction to Advanced Mechanics of
materials.
Review of Simple Bending Theory (SBT)
applicable to symmetric bending.
Tutorial
#1
Application of SBT to composite sections,
Transformed section method.
Tutorial
#2
Bi-axial (unsymmetrical) bending of
beams; Properties of 2-D plane areas;
Tutorial
#3
Bending and shear stresses in bi-axial
bending.
Analysis of curved beams.
Tutorial
#4
Shear stresses in beams; Shear flow; Shear
center.
Tutorial
#5
Oct 9
5
Oct 16
6
Oct 23
7
Oct 30
8
Nov 6
Review of torsion of circular shafts;
Torsion of non-circular shafts; Shear
stresses in non-circular, thin-walled,
hollow shafts (tubes)
Tutorial
#6
Shear stresses in thin-walled open
sections; Shear stresses in non-circular
solid shafts.
Midsemester
Exam
Stresses in 1-D members under combined
loads;
Tutorial
#7
9
Review of analysis of stress in 2-D;
Analysis of stress in 3-D; transformation of
stress under co-ordinate rotation, stress
tensor, principle values, invariants.
10
Nov 13 Review of analysis of strain in 2-D;
Analysis of strain in 3-D; transformation of
strain under co-ordinate rotation, strain
tensor, principle values, invariants.
Lab
sessions
Reading from
th
Assessments Ref #1 (9
ed)
Sections 5.1
– 5.5
Lab 1 –
5.
Details
includin
g
schedule
s will be
provided
in due
course.
During
tutorials/
lectures
quizzes
will be
given,
usually
every
week.
These
quizzes
will be
graded.
Details
regarding
submissio
n of lab
reports
will be
provided
later.
Sections 6.1
– 6.3
Appendix D
and Section
6.5
Section 6.5
and class
notes
Sections 5.8
– 5.11 and
6.6 – 6.9
Sections
3.1-3.3 and
3.11
Section 3.10
Sections
5.12, 6.4
Tutorial
#8
Section 7.1
– 7.4 and
class notes
Tutorial
#9
Section 7.7
and class
notes
11
12
Nov 20 Review of Mohr’s circle for 2-D stresses
and strains. Mohr’s circle construction for
3-D stresses and strains;
Nov 27 Constitutive relations in 3-D for isotropic,
linear elastic materials.
Experimental measurement of strains and
stresses; Strain gauges.
Dec 4
13
Dec 11
14
15
Dec 18
1-D stress-strain behavior of materials,
elastic and plastic deformations, yielding,
yield criteria.
Failure criteria of materials.
Yield criteria of Tresca and von-Mises,
corresponding yield curves in 2-D. Use of
invariants in yield criteria.
Revision
Tutorial
#10
Section 7.4,
7.7 and
class notes
Tutorial
#11
Section 7.5
and class
notes
Tutorial
#12
To be
assigned
To be
assigned
Revision
Study week
Assessment Scheme:
Component
Continuous Assessment
Quizzes
Lab work
Mid-semester Exam
Final Exam
End-semester Exam
Weight
10%
10%
20%
60%
References:
1. “Mechanics of Materials” by Goodno and Gere, 9th edition, (or even any previous edition)
(or older editions of the same textbook by Gere & Timoshenko).
2. Class notes will be provided for some topics.
Notes:
1) All notices, announcements, tutorials etc. related to this module will be made available on
the module page in the course-web. Students are expected to consult this module page
regularly.
2) Each week there will be a 2-hour lecture and a 1-hour tutorial discussion session for the
entire class. Each student will also have a 2-hour laboratory session per two weeks.
3) The whole class will be together for lectures and tutorials. For laboratory work the class
will be sub-divided into groups. Refer the timetable and the course web for details.
4) Lecture notes/ presentation handouts will be made available on the course web for each
week. Students should complete the reading assignments listed in the unit study calendar –
preferable before the corresponding lecture. They are encouraged to raise any questions
and/or seek clarifications - in the lecture or in the tutorial discussion classes - regarding the
material covered in the class or listed for reading.
5) Tutorial problems for each week will be posted on the course web in advance and the
students are expected to try them in preparation for the discussion classes. Any difficulties
they have may be taken up in the discussion classes.
6) Several quizzes will be conducted in the lectures and/or tutorial discussion classes. A quiz
may be a small problem or a set of multiple-choice/short answer type questions. Quizzes
will be graded. The marks will contribute towards the continuous assessment (CA)
component.
7) Laboratory sessions will be arranged separately for the different groups. Detailed schedules
for lab sessions will be announced on the course web later. The laboratory assignments will
earn marks towards continuous assessment.
8) There will be a 1-hour mid-semester examination in week number 7. This will be a
conventional exam consisting of essay type questions, multiple choice questions, short
answer questions, or a mixture of these types.
9) An end-semester exam will be conducted in the exam period during weeks number 16/17.
This will be a 2-hour conventional exam. More details will be provided later in class.
10) The lecturers and teaching assistants will set aside weekly “office hours” which will be
announced later in the class. Students are encouraged to meet them during these office
hours to discuss any matters related to the module. Meetings by appointment, outside the
office hours, also may be arranged on request.
Dr. Nihal Somaratna
Co-ordinator CE2051
Aug. 25, 2023
e-mail: nihal.s@sliit.lk